ON NICHOLS ALGEBRAS OVER PGL(2, q) AND PSL(2, q)
نویسندگان
چکیده
منابع مشابه
Character Degrees of Extensions of PSL2(q) and SL2(q)
Denote by S the projective special linear group PSL2(q) over the field of q elements. We determine, for all values of q > 3, the degrees of the irreducible complex characters of every group H such that S 6 H 6 Aut(S). We also determine the character degrees of certain extensions of the special linear group SL2(q). Explicit knowledge of the character tables of SL2(q), GL2(q), PSL2(q), and PGL2(q...
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Denote by S the 2-dimensional projective special linear group PSL2(q) over the field of q elements. We determine, for all values of q > 3, the degrees of the irreducible complex characters of every group H such that S 6 H 6 Aut(S). Explicit knowledge of the character tables of PSL2(q) and PGL2(q) is used along with standard Clifford theory to obtain the degrees.
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We introduce an analog of the Maxwell operator on a q-Minkowski space algebra (treated as a particular case of the so-called Reflection Equation Algebra) and on certain of its quotients. We treat the space of ”quantum differential forms” as a projective module in the spirit of the Serre-Swan approach. Also, we use ”braided tangent vector fields” which are q-analogs of Poisson vector fields asso...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2010
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498810003823